On P-type fractional order iterative learning identification

Abstract

This paper discusses a practical order identification method for fractional order linear and nonlinear systems, which can adapt and benefit any order dependent system identification methods. Based on the adaptive fractional order iterative learning control (FOILC) results, the P-type fractional order iterative learning identification (FOILI) strategy is applied to estimate the system order iteratively and accurately. Associated with the order sensitivity functions, a series of convergence conditions are derived to optimize the learning gains and to guarantee the monotonic decrease of error bounds. Two illustrative examples are provided to validate the concepts.